Prove that the sets u ⊕v = {u + v : u ∈u, v∈v}and uθv = {u - v : u∈u, v∈v} are homometric for any two sets u and v.

Question

Cody Carroll

Mathematics

22 May, 08:30

Prove that the sets u ⊕v = {u + v : u ∈u, v∈v}and uθv = {u - v : u∈u, v∈v} are homometric for any two sets u and v.

+2

Answers (2)

Know the Answer?

Ronin Page · Answer 1

UV VV = 82-3/4

JDxHG

Romeo Hanna · Answer 2

solution:

given that set,

U⊕V = {u+v : u∈v, v∈v}

UΘV = {u-v : u∈v, v∈v}

clearly the given set are objection and linearity indefenten y,

f and f-1 are continuous,